Geodesic
Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials
Serdica Mathematical Journal, Tome 34 (2008) no. 4, pp. 743-770.

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In the present paper we consider degree 6 hyperbolic polynomials (HPs) in one variable (i.e. real and with all roots real). We are interested in such HPs whose number of equalities between roots of the polynomial and/or its derivatives is higher than expected. We give the complete study of the four families of such degree 6 even HPs and also of HPs which are primitives of degree 5 HPs.
Keywords: Strictly Hyperbolic Polynomial, Gegenbauer Polynomial, Overdetermined Stratum 
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     title = {Even and {Old} {Overdetermined} {Strata} for {Degree} 6 {Hyperbolic} {Polynomials}},
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Ezzaldine, Hayssam; Kostov, Vladimir Petrov. Even and Old Overdetermined Strata for Degree 6 Hyperbolic Polynomials. Serdica Mathematical Journal, Tome 34 (2008) no. 4, pp. 743-770. http://geodesic.mathdoc.fr/item/SMJ2_2008_34_4_a3/